q-Apostol–Euler Polynomials and q-Alternating Sums

被引：0
作者：
Q.-M. Luo
机构：
[1] Chongqing Normal University,
来源：
Ukrainian Mathematical Journal | 2014年 / 65卷
关键词：
Recursive Formula; Euler Number; Bernoulli Number; Bernoulli Polynomial; Euler Polynomial;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Basic properties are established and generating functions are obtained for the q -Apostol–Euler polynomials. We define q -alternating sums and obtain q -extensions of some formulas from Integral Transform. Spectr. Funct., 20, 377–391 (2009). We also deduce an explicit relationship between the q -Apostol–Euler polynomials and the q -Hurwitz–Lerch zeta-function.
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页码：1231 / 1246
页数：15
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